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<head><title>all(BasicList,Function) -- whether all elements of a list satisfy a specified condition</title>
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<div><a href="index.html" title="">Macaulay2Doc</a> > <a href="___The_sp__Macaulay2_splanguage.html" title="">The Macaulay2 language</a> > <a href="_lists_spand_spsequences.html" title="">lists and sequences</a> > <a href="_all_lp__Basic__List_cm__Function_rp.html" title="whether all elements of a list satisfy a specified condition">all(BasicList,Function)</a></div>
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<div><h1>all(BasicList,Function) -- whether all elements of a list satisfy a specified condition</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>all(L,f)</tt></div>
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<li><span>Function: <a href="_all.html" title="whether all elements satisfy a specified condition">all</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>L</tt>, <span>a <a href="___Basic__List.html">basic list</a></span>, or <span>an <a href="___Z__Z.html">integer</a></span>. If an integer is given, then the sequence <tt>0..L-1</tt> is used.</span></li>
<li><span><tt>f</tt>, <span>a <a href="___Function.html">function</a></span>, which returns true or false</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Boolean.html">Boolean value</a></span>, <a href="_true.html" title="">true</a> if <tt>f</tt> returns true when applied to every element of <tt>L</tt> and <a href="_false.html" title="">false</a> otherwise</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : all({1,2,3,4}, even)
o1 = false</pre>
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<tr><td><pre>i2 : all({2,4,6,8}, even)
o2 = true</pre>
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<tr><td><pre>i3 : all(7, x -> x < 10)
o3 = true</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_scan.html" title="apply a function to each element">scan</a> -- apply a function to each element</span></li>
<li><span><a href="_apply.html" title="apply a function to each element">apply</a> -- apply a function to each element</span></li>
<li><span><a href="_select.html" title="select from a list, hash table, or string">select</a> -- select from a list, hash table, or string</span></li>
<li><span><a href="_any.html" title="whether any elements satisfy a specified condition">any</a> -- whether any elements satisfy a specified condition</span></li>
<li><span><a href="_member.html" title="test membership in a list or set">member</a> -- test membership in a list or set</span></li>
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